Free idempotent generated semigroups: subsemigroups, retracts and maximal subgroups

DOI10.1080/00927872.2017.1378893zbMath1439.20069OpenAlexW2757718484MaRDI QIDQ4567861

Yang Dandan, Thomas Quinn-Gregson, Victoria Gould

Publication date: 20 June 2018

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://eprints.whiterose.ac.uk/122459/1/subsemigroupsofige030917forhomepage.pdf

zbMATH Keywords

idempotentbiordered setindependence algebrapartial endomorphismfree \(G\)-act

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Free semigroups, generators and relations, word problems (20M05) Representation of semigroups; actions of semigroups on sets (20M30)

Related Items

Homogeneity of inverse semigroups ⋮ Decomposition of singular elements of an algebra into product of idempotents, a survey

Cites Work

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• Every group is a maximal subgroup of a naturally occurring free idempotent generated semigroup.
• Classical finite transformation semigroups. An introduction.
• Biordered sets come from semigroups
• Subgroups of free idempotent generated regular semigroups
• The biorder on the partial groupoid of idempotents of a semigroup
• Idempotent-generated completely O-simple semigroups
• On maximal subgroups of free idempotent generated semigroups.
• Independence algebras
• Free idempotent generated semigroups and endomorphism monoids of free \(G\)-acts.
• Subgroups of free idempotent generated semigroups need not be free.
• Free idempotent generated semigroups over bands and biordered sets with trivial products
• Maximal subgroups of free idempotent generated semigroups over the full linear monoid
• Maximal subgroups of free idempotent-generated semigroups over the full transformation monoid
• Structure of regular semigroups. I
• Products of idempotent endomorphisms of an independence algebra of finite rank
• SUBGROUPS OF THE FREE SEMIGROUP ON A BIORDERED SET IN WHICH PRINCIPAL IDEALS ARE SINGLETONS
• A Note on Free Idempotent Generated Semigroups over the Full Monoid of Partial Transformations
• EVERY GROUP IS A MAXIMAL SUBGROUP OF THE FREE IDEMPOTENT GENERATED SEMIGROUP OVER A BAND
• Some Results on Stability in Semigroups
• On regularity and the word problem for free idempotent generated semigroups
• Independence in a certain class of abstract algebras